Pith Number

pith:3A2CY3WA

pith:2010:3A2CY3WAC6SJ2GNJEVPCRJKVGR

not attested not anchored not stored refs pending

Analytic quasi-perodic cocycles with singularities and the Lyapunov Exponent of Extended Harper's Model

C. A. Marx, S. Jitomirskaya

arxiv:1010.0751 v3 · 2010-10-05 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3A2CY3WAC6SJ2GNJEVPCRJKVGR}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Mobility edges in pseudo-unitary quasiperiodic quantum walks

Receipt and verification

First computed	2026-05-18T04:13:05.713770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8342c6ec017a49d19a9255e28a555344e7a4913abeebeb6adc02853e42a25ee

Aliases

arxiv: 1010.0751 · arxiv_version: 1010.0751v3 · doi: 10.48550/arxiv.1010.0751 · pith_short_12: 3A2CY3WAC6SJ · pith_short_16: 3A2CY3WAC6SJ2GNJ · pith_short_8: 3A2CY3WA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3A2CY3WAC6SJ2GNJEVPCRJKVGR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d8342c6ec017a49d19a9255e28a555344e7a4913abeebeb6adc02853e42a25ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18883ed597a84441f0ceffaa818e57ac0520fcbeb2a8ee5939a793d716f0088",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-05T02:18:36Z",
    "title_canon_sha256": "0f4078677e8df1beb3534e2581921f58076038013791fc75f703e91551f7ee20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0751",
    "kind": "arxiv",
    "version": 3
  }
}